Use the Shell Method to find the volume of the solid generated by revolving the region bounded by the line y=x+2 and the Parabola y=x^2. About the following Lines:
a) x-axis
b) y=4

Question

Use the Shell Method to find the volume of the solid generated by revolving the region bounded by the line y=x+2 and the Parabola y=x^2. About the following Lines:
a) x-axis
b) y=4

anonymous · Answer

https://www.desmos.com/calculator/crbqpekmsm link to graph

zepdrix · Answer

OOooo these are fun! :)
What are you stuck on?
Just need some help from the start?
Have you found points of intersection yet? So we can determine where our integral will stand and end.

anonymous · Answer

I have not yet determined the end points. But I think im supposed to use two integrals, because of the way its rotating.

anonymous · Answer

Looking at the graph, should be an integral from 0 to 1, and the second one from 1 to 4

zepdrix · Answer

|dw:1375408700156:dw|Ah yes, looks like you have the right idea :)